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Finding the Fourth Proportional to 1,177.54, 1,766.05 and 355.62

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Solution

The fourth proportional to 1,177.54, 1,766.05 and 355.62 is: 533.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.54 : 1,766.05 = 355.62 : x
  2. Step 2: Convert to fraction form
    1,177.54/1,766.05 = 355.62/x
  3. Step 3: Cross multiply
    1,177.54x = 1,766.05 × 355.62
  4. Step 4: Simplify right side
    1,177.54x = 628,050.44
  5. Step 5: Solve for x
    x = 628,050.44/1,177.54
  6. Step 6: Final answer
    x = 533.36

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.